A Riccati equation approach to the stabilization of uncertain linear systems
Automatica (Journal of IFAC)
Control effort considerations in the stabilization of uncertain dynamical systems
Systems & Control Letters
Journal of Optimization Theory and Applications
The regulator problem for class of linear systems with constrained control
Systems & Control Letters
On the positive invariance of polyhedral sets for discrete-time systems
Systems & Control Letters
Model predictive control: theory and practice—a survey
Automatica (Journal of IFAC)
Control of constrained discrete time linear systems using quantized controls
Automatica (Journal of IFAC)
Stabilization of uncertain systems with norm bounded uncertainty-a control
SIAM Journal on Control and Optimization
Heuristically enhanced feedback control of constrained discrete-time linear systems
Automatica (Journal of IFAC)
Constrained regulation of linear continuous-time dynamical systems
Systems & Control Letters
On a convex parameter space method for linear control design of uncertain systems
SIAM Journal on Control and Optimization
Hyperplane method for reachable state estimation for linear time-invariant systems
Journal of Optimization Theory and Applications
A universal adaptive stabilizer for a class of nonlinear systems
Systems & Control Letters
Quadratic stabilizability of uncertain systems: a two level optimization setup
Automatica (Journal of IFAC)
A class of invariant regulators for the discrete-time linear constrained regulation problem
Automatica (Journal of IFAC)
Viability theory
Constrained control for uncertain linear systems
Journal of Optimization Theory and Applications
A design approach for constrained regulation in discrete singular systems
Systems & Control Letters
An analog “neural net” based suboptimal controller for constrained discrete-time linear systems
Automatica (Journal of IFAC)
Reachability in input constrained discrete-time linear systems
Automatica (Journal of IFAC)
Eigenstructure assignment for state constrained linear continuous time systems
Automatica (Journal of IFAC)
Algorithm for determining the reachability set of a linear control system
Journal of Optimization Theory and Applications
On the computation of reference signal constraints for guaranteed tracking performance
Automatica (Journal of IFAC)
A set induced norm approach to the robust control of constrained systems
SIAM Journal on Control and Optimization
Heuristically enhanced feedback control of constrained systems: the minimum time case
Automatica (Journal of IFAC)
Reachable, controllable sets and stabilizing control of constrained linear systems
Automatica (Journal of IFAC)
Bounded controllers for robust exponential convergence
Journal of Optimization Theory and Applications
Linear programming approach to the control of discrete-time periodic systems with uncertain inputs
Journal of Optimization Theory and Applications
Nonlinear state feedback for l1 optimal control
Systems & Control Letters
Piecewise-linear LQ control for systems with input constraints
Automatica (Journal of IFAC)
Systems & Control Letters
Comparison principle, positive invariance and constrained regulation of nonlinear systems
Automatica (Journal of IFAC)
Constrained regulation of linear systems
Automatica (Journal of IFAC)
Nonquadratic Lyapunov functions for robust control
Automatica (Journal of IFAC)
An eigenstructure assignment approach for constrained linear continuous-time singular systems
Systems & Control Letters
Robust linear regulator design for discrete-time systems under polyhedral constraints
Automatica (Journal of IFAC)
A Smooth Converse Lyapunov Theorem for Robust Stability
SIAM Journal on Control and Optimization
On invariant polyhedra of continuous-time systems subject to additive disturbances
Automatica (Journal of IFAC)
Constrained stabilization of continuous-time linear systems
Systems & Control Letters
Stability and stabilization of delay differential systems
Automatica (Journal of IFAC)
Piecewise Lyapunov functions for robust stability of linear time-varying systems
Systems & Control Letters
Robust performance with fixed and worst-case signals for uncertain time-varying systems
Automatica (Journal of IFAC)
Fulfilling hard constraints in uncertain linear systems by reference managing
Automatica (Journal of IFAC)
Partial Stability and Control
Optimization by Vector Space Methods
Optimization by Vector Space Methods
Robust Systems Theory and Applications
Robust Systems Theory and Applications
Brief paper: A time-optimal control algorithm for digital computer control
Automatica (Journal of IFAC)
Paper: Linear ultimate boundedness control of uncertain dynamical systems
Automatica (Journal of IFAC)
On the minimax reachability of target sets and target tubes
Automatica (Journal of IFAC)
Superstable Linear Control Systems. I. Analysis
Automation and Remote Control
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Robust Constrained Regulator Problem for Linear Uncertain Systems
Journal of Dynamical and Control Systems
Partial stability and control: The state-of-the-art and development prospects
Automation and Remote Control
Automation and Remote Control
Monotonicity and positive invariance of linear systems over dioids
Discrete Applied Mathematics - Special issue: Max-algebra
Optimized robust control invariance for linear discrete-time systems: Theoretical foundations
Automatica (Journal of IFAC)
Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
Automation and Remote Control
Automatica (Journal of IFAC)
Brief paper: A new concept of invariance for saturated systems
Automatica (Journal of IFAC)
Brief paper: The minimal disturbance invariant set: Outer approximations via its partial sums
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief paper: Capture zones of linear feedback pursuer strategies
Automatica (Journal of IFAC)
Brief paper: Computations of probabilistic output admissible set for uncertain constrained systems
Automatica (Journal of IFAC)
Brief paper: Feedback and invariance under uncertainty via set-iterates
Automatica (Journal of IFAC)
Regulation of liner continuous-time singular systems with constrained states and controls
International Journal of Systems Science
A Policy Iteration Technique for Time Elapse over Template Polyhedra
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Constraint-Based Approach for Analysis of Hybrid Systems
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
Synthesizing Switching Logic Using Constraint Solving
VMCAI '09 Proceedings of the 10th International Conference on Verification, Model Checking, and Abstract Interpretation
Model Predictive Control --- Numerical Methods for the Invariant Sets Approximation
Numerical Analysis and Its Applications
Brief paper: Convex invariant sets for discrete-time Lur'e systems
Automatica (Journal of IFAC)
Exact Cost Performance Analysis of Piecewise Affine Systems
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Box invariance in biologically-inspired dynamical systems
Automatica (Journal of IFAC)
The invariant set theory of multiple valued iterative dynamical systems
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
Finding positively invariant sets of a class of nonlinear loops via curve fitting
Proceedings of the 2009 conference on Symbolic numeric computation
Automatica (Journal of IFAC)
Feasibility sets of nonlinear strategies in scalarizable robust transfer problem
ISC '07 Proceedings of the 10th IASTED International Conference on Intelligent Systems and Control
Output linear controller for a class of nonlinear systems using the invariant ellipsoid technique
ACC'09 Proceedings of the 2009 conference on American Control Conference
Analysis of linear systems using truncated ellipsoids
ACC'09 Proceedings of the 2009 conference on American Control Conference
State feedback design for input-saturating nonlinear quadratic systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
ACC'09 Proceedings of the 2009 conference on American Control Conference
Analysis and design of output feedback control systems in the presence of actuator saturation
ACC'09 Proceedings of the 2009 conference on American Control Conference
Characterization of backward reachable set and positive invariant set in polytopes
ACC'09 Proceedings of the 2009 conference on American Control Conference
Monotonicity and positive invariance of linear systems over dioids
Discrete Applied Mathematics
Design of state feedback controller for systems with input constrains and actuator faults
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Control and Intelligent Systems
Stabilization of LTI systems with quantized state - quantized input static feedback
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Brief paper: Least-restrictive move-blocking model predictive control
Automatica (Journal of IFAC)
Brief paper: State feedback design for input-saturating quadratic systems
Automatica (Journal of IFAC)
Stabilization of 2D saturated systems by state feedback control
Multidimensional Systems and Signal Processing
Automatica (Journal of IFAC)
Switching logic synthesis for reachability
EMSOFT '10 Proceedings of the tenth ACM international conference on Embedded software
SIAM Journal on Control and Optimization
Consensus in networked multi-agent systems with adversaries
Proceedings of the 14th international conference on Hybrid systems: computation and control
Using the method of invariant ellipsoids for linear robust output stabilization of spacecraft
Automation and Remote Control
Robust static output feedback stabilization of an exothermic chemical reactor with input constraints
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
Automatica (Journal of IFAC)
Brief paper: Dynamic sliding mode control design using attracting ellipsoid method
Automatica (Journal of IFAC)
Necessary and sufficient conditions for reachability on a simplex
Automatica (Journal of IFAC)
Stability analysis of switched systems using variational principles: An introduction
Automatica (Journal of IFAC)
Robust MPC of constrained discrete-time nonlinear systems based on approximated reachable sets
Automatica (Journal of IFAC)
A multi-regulator sliding mode control strategy for output-constrained systems
Automatica (Journal of IFAC)
Computing semi-algebraic invariants for polynomial dynamical systems
EMSOFT '11 Proceedings of the ninth ACM international conference on Embedded software
Brief paper: Reachability and stabilization of discrete-time affine systems with disturbances
Automatica (Journal of IFAC)
Brief paper: Oops! I cannot do it again: Testing for recursive feasibility in MPC
Automatica (Journal of IFAC)
Mathematics and Computers in Simulation
Systems with persistent disturbances: predictive control with restricted constraints
Automatica (Journal of IFAC)
Brief Control of linear systems subject to input constraints: a polynomial approach
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Regulator problem for linear systems with constraints on control and its increment or rate
Automatica (Journal of IFAC)
Barrier function based model predictive control
Automatica (Journal of IFAC)
Stabilizing low complexity feedback control of constrained piecewise affine systems
Automatica (Journal of IFAC)
Optimization over state feedback policies for robust control with constraints
Automatica (Journal of IFAC)
Robust output feedback model predictive control of constrained linear systems
Automatica (Journal of IFAC)
Technical communique: Extended invariance and its use in model predictive control
Automatica (Journal of IFAC)
Enlargement of polytopic terminal region in NMPC by interpolation and partial invariance
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Enlarging the domain of attraction of MPC controllers
Automatica (Journal of IFAC)
A control problem for affine dynamical systems on a full-dimensional polytope
Automatica (Journal of IFAC)
Input to state stability of min-max MPC controllers for nonlinear systems with bounded uncertainties
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Predictive switching supervisory control of persistently disturbed input-saturated plants
Automatica (Journal of IFAC)
Characterization of the solution to a constrained H∞ optimal control problem
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Invariance Kernels of Single-Input Planar Nonlinear Systems
SIAM Journal on Control and Optimization
A state dependent sampling for linear state feedback
Automatica (Journal of IFAC)
Probabilistic set invariance and ultimate boundedness
Automatica (Journal of IFAC)
Computation of polytopic invariants for polynomial dynamical systems using linear programming
Automatica (Journal of IFAC)
Invariants for LTI systems with uncertain input
RP'12 Proceedings of the 6th international conference on Reachability Problems
Viability control for a class of underactuated systems
Automatica (Journal of IFAC)
Stability analysis of linear systems under state and rate saturations
Automatica (Journal of IFAC)
Safe schedulability of bounded-rate multi-mode systems
Proceedings of the 16th international conference on Hybrid systems: computation and control
Proceedings of the 2nd ACM international conference on High confidence networked systems
ACRA: a unified admission control and resource allocation framework for virtualized environments
Proceedings of the 8th International Conference on Network and Service Management
Least-restrictive robust periodic model predictive control applied to room temperature regulation
Automatica (Journal of IFAC)
Synthesizing switching controllers for hybrid systems by generating invariants
Theories of Programming and Formal Methods
Feasibility of piecewise-constant control sequences for timed continuous Petri nets
Automatica (Journal of IFAC)
Predictive metamorphic control
Automatica (Journal of IFAC)
| Hi-index | 22.26 |
The properties of positively invariant sets are involved in many different problems in control theory, such as constrained control, robustness analysis, synthesis and optimization. In this paper we provide an overview of the literature concerning positively invariant sets and their application to the analysis and synthesis of control systems.